Pregunta
Solve the following equation by factoring. \( x^{2}-8 x=0 \) Rewrite the equation in a completely factored form. \( \square=0 \) (Type your answer in factored form.)
Ask by Cruz Bowers. in the United States
Jan 24,2025
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\( x(x - 8) = 0 \)
Solución
To solve the equation \( x^{2} - 8x = 0 \) by factoring, follow these steps:
1. **Factor out the greatest common factor (GCF):**
\[
x^{2} - 8x = x(x - 8)
\]
2. **Write the equation in factored form:**
\[
x(x - 8) = 0
\]
So, the completely factored form of the equation is:
\[
\boxed{x(x - 8) = 0}
\]
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To solve the equation \( x^{2}-8x=0 \), we start by factoring out the common term, which is \( x \). This gives us: \( x(x - 8) = 0 \) Now, to rewrite it in completely factored form, we set each factor equal to zero: 1. \( x = 0 \) 2. \( x - 8 = 0 \) → \( x = 8 \) Thus, the completely factored form of the equation is: \( x(x - 8) = 0 \)
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